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JACM
1998
88views more  JACM 1998»
13 years 7 months ago
A Threshold of ln n for Approximating Set Cover
Given a collection Ᏺ of subsets of S ϭ {1, . . . , n}, set cover is the problem of selecting as few as possible subsets from Ᏺ such that their union covers S, and max k-cover ...
Uriel Feige
CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
13 years 11 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
RSA
2011
131views more  RSA 2011»
13 years 2 months ago
On covering by translates of a set
Abstract. In this paper we study the minimal number τ(S, G) of translates of an arbitrary subset S of a group G needed to cover the group, and related notions of the efficiency of...
Béla Bollobás, Svante Janson, Oliver...
ESA
2005
Springer
146views Algorithms» more  ESA 2005»
14 years 1 months ago
An Approximation Algorithm for the Minimum Latency Set Cover Problem
The input to the minimum latency set cover problem (MLSC) consists of a set of jobs and a set of tools. Each job j needs a specific subset Sj of the tools in order to be processed...
Refael Hassin, Asaf Levin
STACS
2005
Springer
14 years 1 months ago
Cost Sharing and Strategyproof Mechanisms for Set Cover Games
Abstract. We develop for set cover games several general cost-sharing methods that are approximately budget-balanced, core, and/or group-strategyproof. We first study the cost sha...
Xiang-Yang Li, Zheng Sun, Weizhao Wang